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We introduce an integrable model of spin-polarized interacting electrons subject to a spin-conserving spin-orbit interaction. Using Bethe Ansatz and conformal field theory we calculate the exact large-time single-electron and density…

Strongly Correlated Electrons · Physics 2014-06-03 A. A. Zvyagin , H. Johannesson

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

We study the interplay between the edge states and a single impurity in a zigzag graphene nanoribbon. We use tight-binding exact diagonalization techniques, as well as density functional theory calculations to obtain the eigenvalue…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. Bilteanu , C. Dutreix , A. Jagannathan , C. Bena

In this work we analyze the effects of the application of an external electric field in the formation of a local magnetic moment in silicene. By adding an impurity in a top site in the host lattice and computing the real and imaginary part…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Villarreal Julian , Escudero Federico , Ardenghi Juan Sebastian , Jasen Paula

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near…

Strongly Correlated Electrons · Physics 2007-11-29 Rudro R. Biswas , Subir Sachdev , Dam T. Son

Bound electron states in impure graphene are considered. Short-range perturbations for defect and impurities of the types "local chemical potential" and "local gap" are taken into account.

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

We apply a circularly and linearly polarized terahertz field on a monolayer of graphene taking into account spin-orbit interactions of the intrinsic and Rashba type. It turns out that the field can not only be used to induce a gap in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Andreas Scholz , Alexander López , John Schliemann

We study the impurity states in bilayer graphene in the unitary limit using Green's function method. Unlike in single layer graphene, the presence of impurities at two non-equivalent sites in bilayer graphene produce different impurity…

Strongly Correlated Electrons · Physics 2009-11-13 Hari P. Dahal , A. V. Balatsky , Jian-Xin Zhu

Anderson's orthogonality catastrophe in graphene, at energies close to the Dirac point, is analyzed. It is shown that, in clean systems, the orthogonality catastrophe is suppressed, due to the vanishing density of states at the Dirac point.…

Mesoscale and Nanoscale Physics · Physics 2008-02-06 Martina Hentschel , Francisco Guinea

We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the…

Strongly Correlated Electrons · Physics 2009-11-13 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

We study the effect of resonant scatterers on the local density of states in a rectangular graphene setup with metallic leads. We find that the density of states in a vicinity of the Dirac point acquires a strong position dependence due to…

Mesoscale and Nanoscale Physics · Physics 2010-02-17 M. Titov , P. M. Ostrovsky , I. V. Gornyi

On the basis of first-principles calculations, we report that a novel interfacial atomic structure occurs between graphene and the surface of silicon carbide, destroying the Dirac point of graphene and opening a substantial energy gap…

Materials Science · Physics 2008-04-30 Seungchul Kim , Jisoon Ihm , Hyoung Joon Choi , Young-Woo Son

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

We revisit the problem of bound states in graphene under the influence of point electric monopole and dipole impurity potentials extended to the case in which the membrane of this material is uniformly and uniaxially strained, which leads…

Mesoscale and Nanoscale Physics · Physics 2020-08-20 J. C. Pérez-Pedraza , E. Díaz-Bautista , A. Raya , D. Valenzuela

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We present an analytical investigation of the quasi-Coulomb impurity states in a narrow gapped armchair graphene nanoribbon (GNR) in the presence of a uniform external electric field directed parallel to the ribbon axis. The effect of the…

Mesoscale and Nanoscale Physics · Physics 2014-06-16 Boris S. Monzon , Peter Schmelcher

We have studied the electronic and local magnetic structure of the hydrogen interstitial impurity at the tetrahedral site in diamond-structure Ge, using an empirical tight binding + dynamical mean field theory approach because within the…

Strongly Correlated Electrons · Physics 2016-08-11 H. Sims , E. R. Ylvisaker , E. Şaşıoğlu , C. Friedrich , S. Blügel , W. E. Pickett

Motivated by quantum chemistry calculations, showing that molecular adsorption in graphene takes place on preferential sites of the honeycomb lattice, we study the effect of an isolated impurity on the local electronic properties of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci